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12372557824 = 214112792
BaseRepresentation
bin10111000010111011…
…00100000000000000
31011221021011001121101
423201131210000000
5200314333322244
65403414504144
7615414002104
oct134135440000
934837131541
1012372557824
115279a93900
122493665054
1312223b8443
148552bb904
154c63130d4
hex2e1764000

12372557824 has 135 divisors (see below), whose sum is σ = 27546987531. Its totient is φ = 5552701440.

The previous prime is 12372557803. The next prime is 12372557843. The reversal of 12372557824 is 42875527321.

The square root of 12372557824 is 111232.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×123725578242 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 156614617 + ... + 156614695.

Almost surely, 212372557824 is an apocalyptic number.

12372557824 is the 111232-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12372557824

12372557824 is an abundant number, since it is smaller than the sum of its proper divisors (15174429707).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12372557824 is an frugal number, since it uses more digits than its factorization.

12372557824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 92 counting only the distinct ones).

The product of its digits is 940800, while the sum is 46.

The spelling of 12372557824 in words is "twelve billion, three hundred seventy-two million, five hundred fifty-seven thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 79 88 121 128 158 176 242 256 316 352 484 512 632 704 869 968 1024 1264 1408 1738 1936 2048 2528 2816 3476 3872 4096 5056 5632 6241 6952 7744 8192 9559 10112 11264 12482 13904 15488 16384 19118 20224 22528 24964 27808 30976 38236 40448 45056 49928 55616 61952 68651 76472 80896 90112 99856 111232 123904 137302 152944 161792 180224 199712 222464 247808 274604 305888 323584 399424 444928 495616 549208 611776 647168 755161 798848 889856 991232 1098416 1223552 1294336 1510322 1597696 1779712 1982464 2196832 2447104 3020644 3195392 3559424 4393664 4894208 6041288 6390784 7118848 8787328 9788416 12082576 12781568 14237696 17574656 19576832 24165152 25563136 35149312 39153664 48330304 51126272 70298624 78307328 96660608 102252544 140597248 156614656 193321216 281194496 386642432 562388992 773284864 1124777984 1546569728 3093139456 6186278912 12372557824